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Finding the Fourth Proportional to 6,288, 9,431.68 and 1,905.44

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Solution

The fourth proportional to 6,288, 9,431.68 and 1,905.44 is: 2,858.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,288 : 9,431.68 = 1,905.44 : x
  2. Step 2: Convert to fraction form
    6,288/9,431.68 = 1,905.44/x
  3. Step 3: Cross multiply
    6,288x = 9,431.68 × 1,905.44
  4. Step 4: Simplify right side
    6,288x = 17,971,500.34
  5. Step 5: Solve for x
    x = 17,971,500.34/6,288
  6. Step 6: Final answer
    x = 2,858.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.